This paper deals with a Holling type III diffusive predator-prey model with stage structure and nonlinear density restriction in the space R. We first consider the asymptotical stability of equilibrium points for the model of ODE type. Then, the existence and uniform boundedness of global solutions and stability of the equilibrium points for the model of weakly coupled reactiondiffusion type ar...

The memory-based diffusion systems have wide applications in practice. Hopf bifurcations are observed from such systems. To meet the demand for computing normal forms of systems, we develop an effective new algorithm where memory delay is treated as perturbation parameter. illustrate effectiveness algorithm, consider a diffusive predator-prey system with and Holling type-II functional response....

Abstract In the present article, we propose and analyze a new mathematical model for predator–prey system including following terms: Monod–Haldane functional response (a generalized Holling type IV), term describing anti-predator behavior of prey populations one an impulsive control strategy. particular, establish existence condition under which has locally asymptotically stable prey-eradicatio...

Rugose spiraling whitefly (RSW) is one of the major pests which affects coconut trees. It feeds on tree by sucking up water content as well essential nutrients from leaves. also forms sooty mold in leaves due to process photosynthesis inhibited. Biocontrol pest harmless for trees and crops. The experimental results literature reveal that Pseudomallada astur a potential predator this pest. We in...

A system of ordinary differential equations is considered that models the interactions of two plant species populations, an herbivore population, and a predator population. We use a toxin-determined functional response to describe the interactions between plant species and herbivores and use a Holling Type II functional response to model the interactions between herbivores and predators. In ord...

The type III functional response has historically been associated with switching predators; when there is a choice of prey the predator favors the more abundant prey type. Although this functional response has been found in experiments where both prey densities are manipulated, in real world studies the type II functional response is more commonly found. In modeling, the type III functional res...

In this paper, a asymptotically periodic predator-prey model with Modified Leslie-Gower and Holling-Type II schemes is investigated. Some sufficient conditions for the uniformly strong persistence of the system are established. Our result is an important complementarity to the earlier results. Keywords—Predator-prey model, uniformly strong persistence, asymptotically periodic, Holling-type II.